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Finding the Fourth Proportional to 415.35, 621.84 and 313.11

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Solution

The fourth proportional to 415.35, 621.84 and 313.11 is: 468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.35 : 621.84 = 313.11 : x
  2. Step 2: Convert to fraction form
    415.35/621.84 = 313.11/x
  3. Step 3: Cross multiply
    415.35x = 621.84 × 313.11
  4. Step 4: Simplify right side
    415.35x = 194,704.32
  5. Step 5: Solve for x
    x = 194,704.32/415.35
  6. Step 6: Final answer
    x = 468.77

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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.