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Finding the Fourth Proportional to 428.54, 591.05 and 302.45

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Solution

The fourth proportional to 428.54, 591.05 and 302.45 is: 417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.54 : 591.05 = 302.45 : x
  2. Step 2: Convert to fraction form
    428.54/591.05 = 302.45/x
  3. Step 3: Cross multiply
    428.54x = 591.05 × 302.45
  4. Step 4: Simplify right side
    428.54x = 178,760.87
  5. Step 5: Solve for x
    x = 178,760.87/428.54
  6. Step 6: Final answer
    x = 417.14

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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.