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Finding the Fourth Proportional to 176.30, 242.68 and 155.50

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Solution

The fourth proportional to 176.30, 242.68 and 155.50 is: 214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.30 : 242.68 = 155.50 : x
  2. Step 2: Convert to fraction form
    176.30/242.68 = 155.50/x
  3. Step 3: Cross multiply
    176.30x = 242.68 × 155.50
  4. Step 4: Simplify right side
    176.30x = 37,736.74
  5. Step 5: Solve for x
    x = 37,736.74/176.30
  6. Step 6: Final answer
    x = 214.05

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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.