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Finding the Fourth Proportional to 446.08, 614.08 and 383.55

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Solution

The fourth proportional to 446.08, 614.08 and 383.55 is: 527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.08 : 614.08 = 383.55 : x
  2. Step 2: Convert to fraction form
    446.08/614.08 = 383.55/x
  3. Step 3: Cross multiply
    446.08x = 614.08 × 383.55
  4. Step 4: Simplify right side
    446.08x = 235,525.40
  5. Step 5: Solve for x
    x = 235,525.40/446.08
  6. Step 6: Final answer
    x = 527.99

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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.