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Finding the Fourth Proportional to 437.15, 602.49 and 332.00

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Solution

The fourth proportional to 437.15, 602.49 and 332.00 is: 457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.15 : 602.49 = 332.00 : x
  2. Step 2: Convert to fraction form
    437.15/602.49 = 332.00/x
  3. Step 3: Cross multiply
    437.15x = 602.49 × 332.00
  4. Step 4: Simplify right side
    437.15x = 200,025.30
  5. Step 5: Solve for x
    x = 200,025.30/437.15
  6. Step 6: Final answer
    x = 457.57

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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.