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Finding the Fourth Proportional to 402.34, 554.65 and 332.28

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Solution

The fourth proportional to 402.34, 554.65 and 332.28 is: 458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.34 : 554.65 = 332.28 : x
  2. Step 2: Convert to fraction form
    402.34/554.65 = 332.28/x
  3. Step 3: Cross multiply
    402.34x = 554.65 × 332.28
  4. Step 4: Simplify right side
    402.34x = 184,296.71
  5. Step 5: Solve for x
    x = 184,296.71/402.34
  6. Step 6: Final answer
    x = 458.06

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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.