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Finding the Fourth Proportional to 152.86, 210.92 and 86.47

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Solution

The fourth proportional to 152.86, 210.92 and 86.47 is: 119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.86 : 210.92 = 86.47 : x
  2. Step 2: Convert to fraction form
    152.86/210.92 = 86.47/x
  3. Step 3: Cross multiply
    152.86x = 210.92 × 86.47
  4. Step 4: Simplify right side
    152.86x = 18,238.25
  5. Step 5: Solve for x
    x = 18,238.25/152.86
  6. Step 6: Final answer
    x = 119.31

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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.