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Finding the Fourth Proportional to 342.70, 478.70 and 342.70

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Solution

The fourth proportional to 342.70, 478.70 and 342.70 is: 478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.70 : 478.70 = 342.70 : x
  2. Step 2: Convert to fraction form
    342.70/478.70 = 342.70/x
  3. Step 3: Cross multiply
    342.70x = 478.70 × 342.70
  4. Step 4: Simplify right side
    342.70x = 164,050.49
  5. Step 5: Solve for x
    x = 164,050.49/342.70
  6. Step 6: Final answer
    x = 478.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.