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Finding the Fourth Proportional to 445.10, 614.01 and 312.26

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Solution

The fourth proportional to 445.10, 614.01 and 312.26 is: 430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.10 : 614.01 = 312.26 : x
  2. Step 2: Convert to fraction form
    445.10/614.01 = 312.26/x
  3. Step 3: Cross multiply
    445.10x = 614.01 × 312.26
  4. Step 4: Simplify right side
    445.10x = 191,730.76
  5. Step 5: Solve for x
    x = 191,730.76/445.10
  6. Step 6: Final answer
    x = 430.76

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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.