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Finding the Fourth Proportional to 423.42, 583.37 and 318.34

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Solution

The fourth proportional to 423.42, 583.37 and 318.34 is: 438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.42 : 583.37 = 318.34 : x
  2. Step 2: Convert to fraction form
    423.42/583.37 = 318.34/x
  3. Step 3: Cross multiply
    423.42x = 583.37 × 318.34
  4. Step 4: Simplify right side
    423.42x = 185,710.01
  5. Step 5: Solve for x
    x = 185,710.01/423.42
  6. Step 6: Final answer
    x = 438.60

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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.