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Finding the Fourth Proportional to 420.96, 581.01 and 388.02

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Solution

The fourth proportional to 420.96, 581.01 and 388.02 is: 535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.96 : 581.01 = 388.02 : x
  2. Step 2: Convert to fraction form
    420.96/581.01 = 388.02/x
  3. Step 3: Cross multiply
    420.96x = 581.01 × 388.02
  4. Step 4: Simplify right side
    420.96x = 225,443.50
  5. Step 5: Solve for x
    x = 225,443.50/420.96
  6. Step 6: Final answer
    x = 535.55

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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.