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Finding the Fourth Proportional to 384.52, 530.80 and 291.28

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Solution

The fourth proportional to 384.52, 530.80 and 291.28 is: 402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.52 : 530.80 = 291.28 : x
  2. Step 2: Convert to fraction form
    384.52/530.80 = 291.28/x
  3. Step 3: Cross multiply
    384.52x = 530.80 × 291.28
  4. Step 4: Simplify right side
    384.52x = 154,611.42
  5. Step 5: Solve for x
    x = 154,611.42/384.52
  6. Step 6: Final answer
    x = 402.09

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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.