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Finding the Fourth Proportional to 444.12, 612.60 and 312.90

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Solution

The fourth proportional to 444.12, 612.60 and 312.90 is: 431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.12 : 612.60 = 312.90 : x
  2. Step 2: Convert to fraction form
    444.12/612.60 = 312.90/x
  3. Step 3: Cross multiply
    444.12x = 612.60 × 312.90
  4. Step 4: Simplify right side
    444.12x = 191,679.07
  5. Step 5: Solve for x
    x = 191,679.07/444.12
  6. Step 6: Final answer
    x = 431.60

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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.