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Finding the Fourth Proportional to 444.35, 612.66 and 313.13

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Solution

The fourth proportional to 444.35, 612.66 and 313.13 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.35 : 612.66 = 313.13 : x
  2. Step 2: Convert to fraction form
    444.35/612.66 = 313.13/x
  3. Step 3: Cross multiply
    444.35x = 612.66 × 313.13
  4. Step 4: Simplify right side
    444.35x = 191,844.93
  5. Step 5: Solve for x
    x = 191,844.93/444.35
  6. Step 6: Final answer
    x = 431.74

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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.