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Finding the Fourth Proportional to 153.18, 228.09 and 151.46

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Solution

The fourth proportional to 153.18, 228.09 and 151.46 is: 225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.18 : 228.09 = 151.46 : x
  2. Step 2: Convert to fraction form
    153.18/228.09 = 151.46/x
  3. Step 3: Cross multiply
    153.18x = 228.09 × 151.46
  4. Step 4: Simplify right side
    153.18x = 34,545.37
  5. Step 5: Solve for x
    x = 34,545.37/153.18
  6. Step 6: Final answer
    x = 225.52

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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.