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Finding the Fourth Proportional to 210.47, 290.32 and 136.79

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Solution

The fourth proportional to 210.47, 290.32 and 136.79 is: 188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.47 : 290.32 = 136.79 : x
  2. Step 2: Convert to fraction form
    210.47/290.32 = 136.79/x
  3. Step 3: Cross multiply
    210.47x = 290.32 × 136.79
  4. Step 4: Simplify right side
    210.47x = 39,712.17
  5. Step 5: Solve for x
    x = 39,712.17/210.47
  6. Step 6: Final answer
    x = 188.69

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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.