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Finding the Fourth Proportional to 178.00, 244.52 and 156.13

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Solution

The fourth proportional to 178.00, 244.52 and 156.13 is: 214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.00 : 244.52 = 156.13 : x
  2. Step 2: Convert to fraction form
    178.00/244.52 = 156.13/x
  3. Step 3: Cross multiply
    178.00x = 244.52 × 156.13
  4. Step 4: Simplify right side
    178.00x = 38,176.10
  5. Step 5: Solve for x
    x = 38,176.10/178.00
  6. Step 6: Final answer
    x = 214.48

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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.