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Finding the Fourth Proportional to 384.77, 530.46 and 306.35

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Solution

The fourth proportional to 384.77, 530.46 and 306.35 is: 422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.77 : 530.46 = 306.35 : x
  2. Step 2: Convert to fraction form
    384.77/530.46 = 306.35/x
  3. Step 3: Cross multiply
    384.77x = 530.46 × 306.35
  4. Step 4: Simplify right side
    384.77x = 162,503.77
  5. Step 5: Solve for x
    x = 162,503.77/384.77
  6. Step 6: Final answer
    x = 422.35

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Find fourth proportional to 192.38, 265.23 and 153.17
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.