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Finding the Fourth Proportional to 152.88, 228.02 and 139.11

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Solution

The fourth proportional to 152.88, 228.02 and 139.11 is: 207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.88 : 228.02 = 139.11 : x
  2. Step 2: Convert to fraction form
    152.88/228.02 = 139.11/x
  3. Step 3: Cross multiply
    152.88x = 228.02 × 139.11
  4. Step 4: Simplify right side
    152.88x = 31,719.17
  5. Step 5: Solve for x
    x = 31,719.17/152.88
  6. Step 6: Final answer
    x = 207.48

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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.