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Finding the Fourth Proportional to 310.57, 465.59 and 137.05

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Solution

The fourth proportional to 310.57, 465.59 and 137.05 is: 205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.57 : 465.59 = 137.05 : x
  2. Step 2: Convert to fraction form
    310.57/465.59 = 137.05/x
  3. Step 3: Cross multiply
    310.57x = 465.59 × 137.05
  4. Step 4: Simplify right side
    310.57x = 63,808.42
  5. Step 5: Solve for x
    x = 63,808.42/310.57
  6. Step 6: Final answer
    x = 205.46

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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.