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Finding the Fourth Proportional to 357.59, 532.54 and 345.44

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Solution

The fourth proportional to 357.59, 532.54 and 345.44 is: 514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.59 : 532.54 = 345.44 : x
  2. Step 2: Convert to fraction form
    357.59/532.54 = 345.44/x
  3. Step 3: Cross multiply
    357.59x = 532.54 × 345.44
  4. Step 4: Simplify right side
    357.59x = 183,960.62
  5. Step 5: Solve for x
    x = 183,960.62/357.59
  6. Step 6: Final answer
    x = 514.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.