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Finding the Fourth Proportional to 498.02, 746.99 and 156.02

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Solution

The fourth proportional to 498.02, 746.99 and 156.02 is: 234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.02 : 746.99 = 156.02 : x
  2. Step 2: Convert to fraction form
    498.02/746.99 = 156.02/x
  3. Step 3: Cross multiply
    498.02x = 746.99 × 156.02
  4. Step 4: Simplify right side
    498.02x = 116,545.38
  5. Step 5: Solve for x
    x = 116,545.38/498.02
  6. Step 6: Final answer
    x = 234.02

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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.