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Finding the Fourth Proportional to 417.70, 577.16 and 313.21

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Solution

The fourth proportional to 417.70, 577.16 and 313.21 is: 432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.70 : 577.16 = 313.21 : x
  2. Step 2: Convert to fraction form
    417.70/577.16 = 313.21/x
  3. Step 3: Cross multiply
    417.70x = 577.16 × 313.21
  4. Step 4: Simplify right side
    417.70x = 180,772.28
  5. Step 5: Solve for x
    x = 180,772.28/417.70
  6. Step 6: Final answer
    x = 432.78

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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.