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Finding the Fourth Proportional to 488.11, 731.58 and 341.06

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Solution

The fourth proportional to 488.11, 731.58 and 341.06 is: 511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.11 : 731.58 = 341.06 : x
  2. Step 2: Convert to fraction form
    488.11/731.58 = 341.06/x
  3. Step 3: Cross multiply
    488.11x = 731.58 × 341.06
  4. Step 4: Simplify right side
    488.11x = 249,512.67
  5. Step 5: Solve for x
    x = 249,512.67/488.11
  6. Step 6: Final answer
    x = 511.18

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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.