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Finding the Fourth Proportional to 176.50, 242.76 and 154.63

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Solution

The fourth proportional to 176.50, 242.76 and 154.63 is: 212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.50 : 242.76 = 154.63 : x
  2. Step 2: Convert to fraction form
    176.50/242.76 = 154.63/x
  3. Step 3: Cross multiply
    176.50x = 242.76 × 154.63
  4. Step 4: Simplify right side
    176.50x = 37,537.98
  5. Step 5: Solve for x
    x = 37,537.98/176.50
  6. Step 6: Final answer
    x = 212.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.