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Finding the Fourth Proportional to 384.20, 530.04 and 285.74

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Solution

The fourth proportional to 384.20, 530.04 and 285.74 is: 394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.20 : 530.04 = 285.74 : x
  2. Step 2: Convert to fraction form
    384.20/530.04 = 285.74/x
  3. Step 3: Cross multiply
    384.20x = 530.04 × 285.74
  4. Step 4: Simplify right side
    384.20x = 151,453.63
  5. Step 5: Solve for x
    x = 151,453.63/384.20
  6. Step 6: Final answer
    x = 394.21

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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.