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Finding the Fourth Proportional to 310.55, 466.14 and 303.57

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Solution

The fourth proportional to 310.55, 466.14 and 303.57 is: 455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.55 : 466.14 = 303.57 : x
  2. Step 2: Convert to fraction form
    310.55/466.14 = 303.57/x
  3. Step 3: Cross multiply
    310.55x = 466.14 × 303.57
  4. Step 4: Simplify right side
    310.55x = 141,508.57
  5. Step 5: Solve for x
    x = 141,508.57/310.55
  6. Step 6: Final answer
    x = 455.68

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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.