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Finding the Fourth Proportional to 357.66, 495.89 and 345.66

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Solution

The fourth proportional to 357.66, 495.89 and 345.66 is: 479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.66 : 495.89 = 345.66 : x
  2. Step 2: Convert to fraction form
    357.66/495.89 = 345.66/x
  3. Step 3: Cross multiply
    357.66x = 495.89 × 345.66
  4. Step 4: Simplify right side
    357.66x = 171,407.61
  5. Step 5: Solve for x
    x = 171,407.61/357.66
  6. Step 6: Final answer
    x = 479.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.