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Finding the Fourth Proportional to 176.48, 242.95 and 154.61

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Solution

The fourth proportional to 176.48, 242.95 and 154.61 is: 212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.48 : 242.95 = 154.61 : x
  2. Step 2: Convert to fraction form
    176.48/242.95 = 154.61/x
  3. Step 3: Cross multiply
    176.48x = 242.95 × 154.61
  4. Step 4: Simplify right side
    176.48x = 37,560.51
  5. Step 5: Solve for x
    x = 37,560.51/176.48
  6. Step 6: Final answer
    x = 212.84

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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.