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Finding the Fourth Proportional to 384.93, 531.29 and 268.70

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Solution

The fourth proportional to 384.93, 531.29 and 268.70 is: 370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.93 : 531.29 = 268.70 : x
  2. Step 2: Convert to fraction form
    384.93/531.29 = 268.70/x
  3. Step 3: Cross multiply
    384.93x = 531.29 × 268.70
  4. Step 4: Simplify right side
    384.93x = 142,755.64
  5. Step 5: Solve for x
    x = 142,755.64/384.93
  6. Step 6: Final answer
    x = 370.86

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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.