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Finding the Fourth Proportional to 632.25, 948.42 and 358.20

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Solution

The fourth proportional to 632.25, 948.42 and 358.20 is: 537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.25 : 948.42 = 358.20 : x
  2. Step 2: Convert to fraction form
    632.25/948.42 = 358.20/x
  3. Step 3: Cross multiply
    632.25x = 948.42 × 358.20
  4. Step 4: Simplify right side
    632.25x = 339,724.04
  5. Step 5: Solve for x
    x = 339,724.04/632.25
  6. Step 6: Final answer
    x = 537.33

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1.5x scale

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.