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Finding the Fourth Proportional to 356.79, 535.25 and 137.40

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Solution

The fourth proportional to 356.79, 535.25 and 137.40 is: 206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.79 : 535.25 = 137.40 : x
  2. Step 2: Convert to fraction form
    356.79/535.25 = 137.40/x
  3. Step 3: Cross multiply
    356.79x = 535.25 × 137.40
  4. Step 4: Simplify right side
    356.79x = 73,542.66
  5. Step 5: Solve for x
    x = 73,542.66/356.79
  6. Step 6: Final answer
    x = 206.12

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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.