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Finding the Fourth Proportional to 297.93, 410.30 and 291.57

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Solution

The fourth proportional to 297.93, 410.30 and 291.57 is: 401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.93 : 410.30 = 291.57 : x
  2. Step 2: Convert to fraction form
    297.93/410.30 = 291.57/x
  3. Step 3: Cross multiply
    297.93x = 410.30 × 291.57
  4. Step 4: Simplify right side
    297.93x = 119,631.17
  5. Step 5: Solve for x
    x = 119,631.17/297.93
  6. Step 6: Final answer
    x = 401.54

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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.