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Finding the Fourth Proportional to 210.61, 291.02 and 169.10

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Solution

The fourth proportional to 210.61, 291.02 and 169.10 is: 233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.61 : 291.02 = 169.10 : x
  2. Step 2: Convert to fraction form
    210.61/291.02 = 169.10/x
  3. Step 3: Cross multiply
    210.61x = 291.02 × 169.10
  4. Step 4: Simplify right side
    210.61x = 49,211.48
  5. Step 5: Solve for x
    x = 49,211.48/210.61
  6. Step 6: Final answer
    x = 233.66

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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.