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Finding the Fourth Proportional to 341.31, 470.90 and 266.89

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Solution

The fourth proportional to 341.31, 470.90 and 266.89 is: 368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.31 : 470.90 = 266.89 : x
  2. Step 2: Convert to fraction form
    341.31/470.90 = 266.89/x
  3. Step 3: Cross multiply
    341.31x = 470.90 × 266.89
  4. Step 4: Simplify right side
    341.31x = 125,677.17
  5. Step 5: Solve for x
    x = 125,677.17/341.31
  6. Step 6: Final answer
    x = 368.22

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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.