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Finding the Fourth Proportional to 153.34, 228.68 and 138.76

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Solution

The fourth proportional to 153.34, 228.68 and 138.76 is: 206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.34 : 228.68 = 138.76 : x
  2. Step 2: Convert to fraction form
    153.34/228.68 = 138.76/x
  3. Step 3: Cross multiply
    153.34x = 228.68 × 138.76
  4. Step 4: Simplify right side
    153.34x = 31,731.64
  5. Step 5: Solve for x
    x = 31,731.64/153.34
  6. Step 6: Final answer
    x = 206.94

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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.