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Finding the Fourth Proportional to 340.86, 511.38 and 145.76

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Solution

The fourth proportional to 340.86, 511.38 and 145.76 is: 218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.86 : 511.38 = 145.76 : x
  2. Step 2: Convert to fraction form
    340.86/511.38 = 145.76/x
  3. Step 3: Cross multiply
    340.86x = 511.38 × 145.76
  4. Step 4: Simplify right side
    340.86x = 74,538.75
  5. Step 5: Solve for x
    x = 74,538.75/340.86
  6. Step 6: Final answer
    x = 218.68

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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.