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Finding the Fourth Proportional to 357.90, 537.66 and 297.15

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Solution

The fourth proportional to 357.90, 537.66 and 297.15 is: 446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.90 : 537.66 = 297.15 : x
  2. Step 2: Convert to fraction form
    357.90/537.66 = 297.15/x
  3. Step 3: Cross multiply
    357.90x = 537.66 × 297.15
  4. Step 4: Simplify right side
    357.90x = 159,765.67
  5. Step 5: Solve for x
    x = 159,765.67/357.90
  6. Step 6: Final answer
    x = 446.40

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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.