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Finding the Fourth Proportional to 152.76, 228.21 and 112.20

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Solution

The fourth proportional to 152.76, 228.21 and 112.20 is: 167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.76 : 228.21 = 112.20 : x
  2. Step 2: Convert to fraction form
    152.76/228.21 = 112.20/x
  3. Step 3: Cross multiply
    152.76x = 228.21 × 112.20
  4. Step 4: Simplify right side
    152.76x = 25,605.16
  5. Step 5: Solve for x
    x = 25,605.16/152.76
  6. Step 6: Final answer
    x = 167.62

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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.