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Finding the Fourth Proportional to 485.84, 670.16 and 310.88

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Solution

The fourth proportional to 485.84, 670.16 and 310.88 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.84 : 670.16 = 310.88 : x
  2. Step 2: Convert to fraction form
    485.84/670.16 = 310.88/x
  3. Step 3: Cross multiply
    485.84x = 670.16 × 310.88
  4. Step 4: Simplify right side
    485.84x = 208,336.86
  5. Step 5: Solve for x
    x = 208,336.86/485.84
  6. Step 6: Final answer
    x = 428.82

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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.