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Finding the Fourth Proportional to 420.04, 626.27 and 383.86

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Solution

The fourth proportional to 420.04, 626.27 and 383.86 is: 572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.04 : 626.27 = 383.86 : x
  2. Step 2: Convert to fraction form
    420.04/626.27 = 383.86/x
  3. Step 3: Cross multiply
    420.04x = 626.27 × 383.86
  4. Step 4: Simplify right side
    420.04x = 240,400.00
  5. Step 5: Solve for x
    x = 240,400.00/420.04
  6. Step 6: Final answer
    x = 572.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.