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Finding the Fourth Proportional to 385.69, 532.02 and 291.10

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Solution

The fourth proportional to 385.69, 532.02 and 291.10 is: 401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.69 : 532.02 = 291.10 : x
  2. Step 2: Convert to fraction form
    385.69/532.02 = 291.10/x
  3. Step 3: Cross multiply
    385.69x = 532.02 × 291.10
  4. Step 4: Simplify right side
    385.69x = 154,871.02
  5. Step 5: Solve for x
    x = 154,871.02/385.69
  6. Step 6: Final answer
    x = 401.54

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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.