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Finding the Fourth Proportional to 342.64, 511.61 and 311.86

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Solution

The fourth proportional to 342.64, 511.61 and 311.86 is: 465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.64 : 511.61 = 311.86 : x
  2. Step 2: Convert to fraction form
    342.64/511.61 = 311.86/x
  3. Step 3: Cross multiply
    342.64x = 511.61 × 311.86
  4. Step 4: Simplify right side
    342.64x = 159,550.69
  5. Step 5: Solve for x
    x = 159,550.69/342.64
  6. Step 6: Final answer
    x = 465.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.