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Finding the Fourth Proportional to 306.64, 460.68 and 282.88

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Solution

The fourth proportional to 306.64, 460.68 and 282.88 is: 424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.64 : 460.68 = 282.88 : x
  2. Step 2: Convert to fraction form
    306.64/460.68 = 282.88/x
  3. Step 3: Cross multiply
    306.64x = 460.68 × 282.88
  4. Step 4: Simplify right side
    306.64x = 130,317.16
  5. Step 5: Solve for x
    x = 130,317.16/306.64
  6. Step 6: Final answer
    x = 424.98

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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.