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Finding the Fourth Proportional to 341.70, 512.55 and 293.10

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Solution

The fourth proportional to 341.70, 512.55 and 293.10 is: 439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.70 : 512.55 = 293.10 : x
  2. Step 2: Convert to fraction form
    341.70/512.55 = 293.10/x
  3. Step 3: Cross multiply
    341.70x = 512.55 × 293.10
  4. Step 4: Simplify right side
    341.70x = 150,228.41
  5. Step 5: Solve for x
    x = 150,228.41/341.70
  6. Step 6: Final answer
    x = 439.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.