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Finding the Fourth Proportional to 421.47, 581.43 and 297.15

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Solution

The fourth proportional to 421.47, 581.43 and 297.15 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.47 : 581.43 = 297.15 : x
  2. Step 2: Convert to fraction form
    421.47/581.43 = 297.15/x
  3. Step 3: Cross multiply
    421.47x = 581.43 × 297.15
  4. Step 4: Simplify right side
    421.47x = 172,771.92
  5. Step 5: Solve for x
    x = 172,771.92/421.47
  6. Step 6: Final answer
    x = 409.93

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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.