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Finding the Fourth Proportional to 151.24, 208.71 and 135.65

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Solution

The fourth proportional to 151.24, 208.71 and 135.65 is: 187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.24 : 208.71 = 135.65 : x
  2. Step 2: Convert to fraction form
    151.24/208.71 = 135.65/x
  3. Step 3: Cross multiply
    151.24x = 208.71 × 135.65
  4. Step 4: Simplify right side
    151.24x = 28,311.51
  5. Step 5: Solve for x
    x = 28,311.51/151.24
  6. Step 6: Final answer
    x = 187.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.