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Finding the Fourth Proportional to 385.19, 574.80 and 344.18

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Solution

The fourth proportional to 385.19, 574.80 and 344.18 is: 513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.19 : 574.80 = 344.18 : x
  2. Step 2: Convert to fraction form
    385.19/574.80 = 344.18/x
  3. Step 3: Cross multiply
    385.19x = 574.80 × 344.18
  4. Step 4: Simplify right side
    385.19x = 197,831.79
  5. Step 5: Solve for x
    x = 197,831.79/385.19
  6. Step 6: Final answer
    x = 513.60

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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.