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Finding the Fourth Proportional to 497.98, 746.98 and 132.77

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Solution

The fourth proportional to 497.98, 746.98 and 132.77 is: 199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.98 : 746.98 = 132.77 : x
  2. Step 2: Convert to fraction form
    497.98/746.98 = 132.77/x
  3. Step 3: Cross multiply
    497.98x = 746.98 × 132.77
  4. Step 4: Simplify right side
    497.98x = 99,178.40
  5. Step 5: Solve for x
    x = 99,178.40/497.98
  6. Step 6: Final answer
    x = 199.16

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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.