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Finding the Fourth Proportional to 388.61, 580.07 and 342.48

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Solution

The fourth proportional to 388.61, 580.07 and 342.48 is: 511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.61 : 580.07 = 342.48 : x
  2. Step 2: Convert to fraction form
    388.61/580.07 = 342.48/x
  3. Step 3: Cross multiply
    388.61x = 580.07 × 342.48
  4. Step 4: Simplify right side
    388.61x = 198,663.23
  5. Step 5: Solve for x
    x = 198,663.23/388.61
  6. Step 6: Final answer
    x = 511.21

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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.