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Finding the Fourth Proportional to 497.80, 746.88 and 209.28

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Solution

The fourth proportional to 497.80, 746.88 and 209.28 is: 314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.80 : 746.88 = 209.28 : x
  2. Step 2: Convert to fraction form
    497.80/746.88 = 209.28/x
  3. Step 3: Cross multiply
    497.80x = 746.88 × 209.28
  4. Step 4: Simplify right side
    497.80x = 156,307.05
  5. Step 5: Solve for x
    x = 156,307.05/497.80
  6. Step 6: Final answer
    x = 314.00

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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.