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Finding the Fourth Proportional to 385.76, 531.84 and 307.32

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Solution

The fourth proportional to 385.76, 531.84 and 307.32 is: 423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.76 : 531.84 = 307.32 : x
  2. Step 2: Convert to fraction form
    385.76/531.84 = 307.32/x
  3. Step 3: Cross multiply
    385.76x = 531.84 × 307.32
  4. Step 4: Simplify right side
    385.76x = 163,445.07
  5. Step 5: Solve for x
    x = 163,445.07/385.76
  6. Step 6: Final answer
    x = 423.70

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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.