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Finding the Fourth Proportional to 356.99, 531.24 and 343.15

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Solution

The fourth proportional to 356.99, 531.24 and 343.15 is: 510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.99 : 531.24 = 343.15 : x
  2. Step 2: Convert to fraction form
    356.99/531.24 = 343.15/x
  3. Step 3: Cross multiply
    356.99x = 531.24 × 343.15
  4. Step 4: Simplify right side
    356.99x = 182,295.01
  5. Step 5: Solve for x
    x = 182,295.01/356.99
  6. Step 6: Final answer
    x = 510.64

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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.