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Finding the Fourth Proportional to 313.08, 466.61 and 310.54

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Solution

The fourth proportional to 313.08, 466.61 and 310.54 is: 462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.08 : 466.61 = 310.54 : x
  2. Step 2: Convert to fraction form
    313.08/466.61 = 310.54/x
  3. Step 3: Cross multiply
    313.08x = 466.61 × 310.54
  4. Step 4: Simplify right side
    313.08x = 144,901.07
  5. Step 5: Solve for x
    x = 144,901.07/313.08
  6. Step 6: Final answer
    x = 462.82

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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.