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Finding the Fourth Proportional to 395.46, 591.66 and 297.90

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Solution

The fourth proportional to 395.46, 591.66 and 297.90 is: 445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.46 : 591.66 = 297.90 : x
  2. Step 2: Convert to fraction form
    395.46/591.66 = 297.90/x
  3. Step 3: Cross multiply
    395.46x = 591.66 × 297.90
  4. Step 4: Simplify right side
    395.46x = 176,255.51
  5. Step 5: Solve for x
    x = 176,255.51/395.46
  6. Step 6: Final answer
    x = 445.70

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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.