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Finding the Fourth Proportional to 210.96, 291.12 and 117.70

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Solution

The fourth proportional to 210.96, 291.12 and 117.70 is: 162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.96 : 291.12 = 117.70 : x
  2. Step 2: Convert to fraction form
    210.96/291.12 = 117.70/x
  3. Step 3: Cross multiply
    210.96x = 291.12 × 117.70
  4. Step 4: Simplify right side
    210.96x = 34,264.15
  5. Step 5: Solve for x
    x = 34,264.15/210.96
  6. Step 6: Final answer
    x = 162.42

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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.