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Finding the Fourth Proportional to 346.70, 512.63 and 346.70

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Solution

The fourth proportional to 346.70, 512.63 and 346.70 is: 512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.70 : 512.63 = 346.70 : x
  2. Step 2: Convert to fraction form
    346.70/512.63 = 346.70/x
  3. Step 3: Cross multiply
    346.70x = 512.63 × 346.70
  4. Step 4: Simplify right side
    346.70x = 177,728.82
  5. Step 5: Solve for x
    x = 177,728.82/346.70
  6. Step 6: Final answer
    x = 512.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.