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Finding the Fourth Proportional to 486.98, 672.19 and 310.06

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Solution

The fourth proportional to 486.98, 672.19 and 310.06 is: 427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.98 : 672.19 = 310.06 : x
  2. Step 2: Convert to fraction form
    486.98/672.19 = 310.06/x
  3. Step 3: Cross multiply
    486.98x = 672.19 × 310.06
  4. Step 4: Simplify right side
    486.98x = 208,419.23
  5. Step 5: Solve for x
    x = 208,419.23/486.98
  6. Step 6: Final answer
    x = 427.98

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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.