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Finding the Fourth Proportional to 477.80, 659.21 and 312.25

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Solution

The fourth proportional to 477.80, 659.21 and 312.25 is: 430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.80 : 659.21 = 312.25 : x
  2. Step 2: Convert to fraction form
    477.80/659.21 = 312.25/x
  3. Step 3: Cross multiply
    477.80x = 659.21 × 312.25
  4. Step 4: Simplify right side
    477.80x = 205,838.32
  5. Step 5: Solve for x
    x = 205,838.32/477.80
  6. Step 6: Final answer
    x = 430.80

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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.