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Finding the Fourth Proportional to 152.66, 227.77 and 141.18

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Solution

The fourth proportional to 152.66, 227.77 and 141.18 is: 210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.66 : 227.77 = 141.18 : x
  2. Step 2: Convert to fraction form
    152.66/227.77 = 141.18/x
  3. Step 3: Cross multiply
    152.66x = 227.77 × 141.18
  4. Step 4: Simplify right side
    152.66x = 32,155.86
  5. Step 5: Solve for x
    x = 32,155.86/152.66
  6. Step 6: Final answer
    x = 210.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.