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Finding the Fourth Proportional to 397.57, 598.67 and 295.57

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Solution

The fourth proportional to 397.57, 598.67 and 295.57 is: 445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.57 : 598.67 = 295.57 : x
  2. Step 2: Convert to fraction form
    397.57/598.67 = 295.57/x
  3. Step 3: Cross multiply
    397.57x = 598.67 × 295.57
  4. Step 4: Simplify right side
    397.57x = 176,948.89
  5. Step 5: Solve for x
    x = 176,948.89/397.57
  6. Step 6: Final answer
    x = 445.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.