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Finding the Fourth Proportional to 340.77, 510.93 and 135.21

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Solution

The fourth proportional to 340.77, 510.93 and 135.21 is: 202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.77 : 510.93 = 135.21 : x
  2. Step 2: Convert to fraction form
    340.77/510.93 = 135.21/x
  3. Step 3: Cross multiply
    340.77x = 510.93 × 135.21
  4. Step 4: Simplify right side
    340.77x = 69,082.85
  5. Step 5: Solve for x
    x = 69,082.85/340.77
  6. Step 6: Final answer
    x = 202.73

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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.