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Finding the Fourth Proportional to 474.60, 655.19 and 297.67

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Solution

The fourth proportional to 474.60, 655.19 and 297.67 is: 410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.60 : 655.19 = 297.67 : x
  2. Step 2: Convert to fraction form
    474.60/655.19 = 297.67/x
  3. Step 3: Cross multiply
    474.60x = 655.19 × 297.67
  4. Step 4: Simplify right side
    474.60x = 195,030.41
  5. Step 5: Solve for x
    x = 195,030.41/474.60
  6. Step 6: Final answer
    x = 410.94

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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.