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Finding the Fourth Proportional to 356.40, 534.70 and 173.80

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Solution

The fourth proportional to 356.40, 534.70 and 173.80 is: 260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.40 : 534.70 = 173.80 : x
  2. Step 2: Convert to fraction form
    356.40/534.70 = 173.80/x
  3. Step 3: Cross multiply
    356.40x = 534.70 × 173.80
  4. Step 4: Simplify right side
    356.40x = 92,928.74
  5. Step 5: Solve for x
    x = 92,928.74/356.40
  6. Step 6: Final answer
    x = 260.74

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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.