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Finding the Fourth Proportional to 428.22, 591.03 and 302.40

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Solution

The fourth proportional to 428.22, 591.03 and 302.40 is: 417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.22 : 591.03 = 302.40 : x
  2. Step 2: Convert to fraction form
    428.22/591.03 = 302.40/x
  3. Step 3: Cross multiply
    428.22x = 591.03 × 302.40
  4. Step 4: Simplify right side
    428.22x = 178,727.47
  5. Step 5: Solve for x
    x = 178,727.47/428.22
  6. Step 6: Final answer
    x = 417.37

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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.