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Finding the Fourth Proportional to 624.08, 935.80 and 258.98

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Solution

The fourth proportional to 624.08, 935.80 and 258.98 is: 388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.08 : 935.80 = 258.98 : x
  2. Step 2: Convert to fraction form
    624.08/935.80 = 258.98/x
  3. Step 3: Cross multiply
    624.08x = 935.80 × 258.98
  4. Step 4: Simplify right side
    624.08x = 242,348.16
  5. Step 5: Solve for x
    x = 242,348.16/624.08
  6. Step 6: Final answer
    x = 388.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.