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Finding the Fourth Proportional to 384.80, 530.86 and 296.14

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Solution

The fourth proportional to 384.80, 530.86 and 296.14 is: 408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.80 : 530.86 = 296.14 : x
  2. Step 2: Convert to fraction form
    384.80/530.86 = 296.14/x
  3. Step 3: Cross multiply
    384.80x = 530.86 × 296.14
  4. Step 4: Simplify right side
    384.80x = 157,208.88
  5. Step 5: Solve for x
    x = 157,208.88/384.80
  6. Step 6: Final answer
    x = 408.55

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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.