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Finding the Fourth Proportional to 385.32, 531.10 and 302.28

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Solution

The fourth proportional to 385.32, 531.10 and 302.28 is: 416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.32 : 531.10 = 302.28 : x
  2. Step 2: Convert to fraction form
    385.32/531.10 = 302.28/x
  3. Step 3: Cross multiply
    385.32x = 531.10 × 302.28
  4. Step 4: Simplify right side
    385.32x = 160,540.91
  5. Step 5: Solve for x
    x = 160,540.91/385.32
  6. Step 6: Final answer
    x = 416.64

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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.