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Finding the Fourth Proportional to 297.66, 409.85 and 258.17

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Solution

The fourth proportional to 297.66, 409.85 and 258.17 is: 355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.66 : 409.85 = 258.17 : x
  2. Step 2: Convert to fraction form
    297.66/409.85 = 258.17/x
  3. Step 3: Cross multiply
    297.66x = 409.85 × 258.17
  4. Step 4: Simplify right side
    297.66x = 105,807.63
  5. Step 5: Solve for x
    x = 105,807.63/297.66
  6. Step 6: Final answer
    x = 355.46

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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.