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Finding the Fourth Proportional to 356.80, 534.48 and 174.05

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Solution

The fourth proportional to 356.80, 534.48 and 174.05 is: 260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.80 : 534.48 = 174.05 : x
  2. Step 2: Convert to fraction form
    356.80/534.48 = 174.05/x
  3. Step 3: Cross multiply
    356.80x = 534.48 × 174.05
  4. Step 4: Simplify right side
    356.80x = 93,026.24
  5. Step 5: Solve for x
    x = 93,026.24/356.80
  6. Step 6: Final answer
    x = 260.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.