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Finding the Fourth Proportional to 176.40, 242.28 and 148.41

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Solution

The fourth proportional to 176.40, 242.28 and 148.41 is: 203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.40 : 242.28 = 148.41 : x
  2. Step 2: Convert to fraction form
    176.40/242.28 = 148.41/x
  3. Step 3: Cross multiply
    176.40x = 242.28 × 148.41
  4. Step 4: Simplify right side
    176.40x = 35,956.77
  5. Step 5: Solve for x
    x = 35,956.77/176.40
  6. Step 6: Final answer
    x = 203.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.