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Finding the Fourth Proportional to 498.24, 747.12 and 190

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Solution

The fourth proportional to 498.24, 747.12 and 190 is: 284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 747.12 = 190 : x
  2. Step 2: Convert to fraction form
    498.24/747.12 = 190/x
  3. Step 3: Cross multiply
    498.24x = 747.12 × 190
  4. Step 4: Simplify right side
    498.24x = 141,952.80
  5. Step 5: Solve for x
    x = 141,952.80/498.24
  6. Step 6: Final answer
    x = 284.91

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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.