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Finding the Fourth Proportional to 152.91, 210.96 and 103.71

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Solution

The fourth proportional to 152.91, 210.96 and 103.71 is: 143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.91 : 210.96 = 103.71 : x
  2. Step 2: Convert to fraction form
    152.91/210.96 = 103.71/x
  3. Step 3: Cross multiply
    152.91x = 210.96 × 103.71
  4. Step 4: Simplify right side
    152.91x = 21,878.66
  5. Step 5: Solve for x
    x = 21,878.66/152.91
  6. Step 6: Final answer
    x = 143.08

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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.