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Finding the Fourth Proportional to 176.50, 243.58 and 107.50

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Solution

The fourth proportional to 176.50, 243.58 and 107.50 is: 148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.50 : 243.58 = 107.50 : x
  2. Step 2: Convert to fraction form
    176.50/243.58 = 107.50/x
  3. Step 3: Cross multiply
    176.50x = 243.58 × 107.50
  4. Step 4: Simplify right side
    176.50x = 26,184.85
  5. Step 5: Solve for x
    x = 26,184.85/176.50
  6. Step 6: Final answer
    x = 148.36

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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.