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Finding the Fourth Proportional to 313.94, 466.90 and 307.78

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Solution

The fourth proportional to 313.94, 466.90 and 307.78 is: 457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.94 : 466.90 = 307.78 : x
  2. Step 2: Convert to fraction form
    313.94/466.90 = 307.78/x
  3. Step 3: Cross multiply
    313.94x = 466.90 × 307.78
  4. Step 4: Simplify right side
    313.94x = 143,702.48
  5. Step 5: Solve for x
    x = 143,702.48/313.94
  6. Step 6: Final answer
    x = 457.74

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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.