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Finding the Fourth Proportional to 152.67, 228.23 and 114.13

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Solution

The fourth proportional to 152.67, 228.23 and 114.13 is: 170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.67 : 228.23 = 114.13 : x
  2. Step 2: Convert to fraction form
    152.67/228.23 = 114.13/x
  3. Step 3: Cross multiply
    152.67x = 228.23 × 114.13
  4. Step 4: Simplify right side
    152.67x = 26,047.89
  5. Step 5: Solve for x
    x = 26,047.89/152.67
  6. Step 6: Final answer
    x = 170.62

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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.