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Finding the Fourth Proportional to 153.32, 228.42 and 151.81

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Solution

The fourth proportional to 153.32, 228.42 and 151.81 is: 226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.32 : 228.42 = 151.81 : x
  2. Step 2: Convert to fraction form
    153.32/228.42 = 151.81/x
  3. Step 3: Cross multiply
    153.32x = 228.42 × 151.81
  4. Step 4: Simplify right side
    153.32x = 34,675.87
  5. Step 5: Solve for x
    x = 34,675.87/153.32
  6. Step 6: Final answer
    x = 226.17

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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.