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Finding the Fourth Proportional to 410.68, 566.35 and 306.02

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Solution

The fourth proportional to 410.68, 566.35 and 306.02 is: 422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.68 : 566.35 = 306.02 : x
  2. Step 2: Convert to fraction form
    410.68/566.35 = 306.02/x
  3. Step 3: Cross multiply
    410.68x = 566.35 × 306.02
  4. Step 4: Simplify right side
    410.68x = 173,315.08
  5. Step 5: Solve for x
    x = 173,315.08/410.68
  6. Step 6: Final answer
    x = 422.02

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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.