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Finding the Fourth Proportional to 346.86, 474.92 and 345.65

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Solution

The fourth proportional to 346.86, 474.92 and 345.65 is: 473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.86 : 474.92 = 345.65 : x
  2. Step 2: Convert to fraction form
    346.86/474.92 = 345.65/x
  3. Step 3: Cross multiply
    346.86x = 474.92 × 345.65
  4. Step 4: Simplify right side
    346.86x = 164,153.29
  5. Step 5: Solve for x
    x = 164,153.29/346.86
  6. Step 6: Final answer
    x = 473.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.