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Finding the Fourth Proportional to 385.19, 580.45 and 348.74

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Solution

The fourth proportional to 385.19, 580.45 and 348.74 is: 525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.19 : 580.45 = 348.74 : x
  2. Step 2: Convert to fraction form
    385.19/580.45 = 348.74/x
  3. Step 3: Cross multiply
    385.19x = 580.45 × 348.74
  4. Step 4: Simplify right side
    385.19x = 202,425.19
  5. Step 5: Solve for x
    x = 202,425.19/385.19
  6. Step 6: Final answer
    x = 525.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.