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Finding the Fourth Proportional to 428, 590.08 and 297.04

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Solution

The fourth proportional to 428, 590.08 and 297.04 is: 409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    428 : 590.08 = 297.04 : x
  2. Step 2: Convert to fraction form
    428/590.08 = 297.04/x
  3. Step 3: Cross multiply
    428x = 590.08 × 297.04
  4. Step 4: Simplify right side
    428x = 175,277.36
  5. Step 5: Solve for x
    x = 175,277.36/428
  6. Step 6: Final answer
    x = 409.53

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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.