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Finding the Fourth Proportional to 424.99, 638.54 and 270.98

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Solution

The fourth proportional to 424.99, 638.54 and 270.98 is: 407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.99 : 638.54 = 270.98 : x
  2. Step 2: Convert to fraction form
    424.99/638.54 = 270.98/x
  3. Step 3: Cross multiply
    424.99x = 638.54 × 270.98
  4. Step 4: Simplify right side
    424.99x = 173,031.57
  5. Step 5: Solve for x
    x = 173,031.57/424.99
  6. Step 6: Final answer
    x = 407.14

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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.