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Finding the Fourth Proportional to 510.64, 764.80 and 279.16

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Solution

The fourth proportional to 510.64, 764.80 and 279.16 is: 418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.64 : 764.80 = 279.16 : x
  2. Step 2: Convert to fraction form
    510.64/764.80 = 279.16/x
  3. Step 3: Cross multiply
    510.64x = 764.80 × 279.16
  4. Step 4: Simplify right side
    510.64x = 213,501.57
  5. Step 5: Solve for x
    x = 213,501.57/510.64
  6. Step 6: Final answer
    x = 418.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.