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Finding the Fourth Proportional to 410.22, 616.35 and 264.03

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Solution

The fourth proportional to 410.22, 616.35 and 264.03 is: 396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.22 : 616.35 = 264.03 : x
  2. Step 2: Convert to fraction form
    410.22/616.35 = 264.03/x
  3. Step 3: Cross multiply
    410.22x = 616.35 × 264.03
  4. Step 4: Simplify right side
    410.22x = 162,734.89
  5. Step 5: Solve for x
    x = 162,734.89/410.22
  6. Step 6: Final answer
    x = 396.70

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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.