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Finding the Fourth Proportional to 262.07, 392.98 and 99.65

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Solution

The fourth proportional to 262.07, 392.98 and 99.65 is: 149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.07 : 392.98 = 99.65 : x
  2. Step 2: Convert to fraction form
    262.07/392.98 = 99.65/x
  3. Step 3: Cross multiply
    262.07x = 392.98 × 99.65
  4. Step 4: Simplify right side
    262.07x = 39,160.46
  5. Step 5: Solve for x
    x = 39,160.46/262.07
  6. Step 6: Final answer
    x = 149.43

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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.