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Finding the Fourth Proportional to 438.45, 604.55 and 314.07

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Solution

The fourth proportional to 438.45, 604.55 and 314.07 is: 433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.45 : 604.55 = 314.07 : x
  2. Step 2: Convert to fraction form
    438.45/604.55 = 314.07/x
  3. Step 3: Cross multiply
    438.45x = 604.55 × 314.07
  4. Step 4: Simplify right side
    438.45x = 189,871.02
  5. Step 5: Solve for x
    x = 189,871.02/438.45
  6. Step 6: Final answer
    x = 433.05

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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.