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Finding the Fourth Proportional to 475.86, 656.24 and 310.01

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Solution

The fourth proportional to 475.86, 656.24 and 310.01 is: 427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.86 : 656.24 = 310.01 : x
  2. Step 2: Convert to fraction form
    475.86/656.24 = 310.01/x
  3. Step 3: Cross multiply
    475.86x = 656.24 × 310.01
  4. Step 4: Simplify right side
    475.86x = 203,440.10
  5. Step 5: Solve for x
    x = 203,440.10/475.86
  6. Step 6: Final answer
    x = 427.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.