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Finding the Fourth Proportional to 457.98, 632.01 and 258.83

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Solution

The fourth proportional to 457.98, 632.01 and 258.83 is: 357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.98 : 632.01 = 258.83 : x
  2. Step 2: Convert to fraction form
    457.98/632.01 = 258.83/x
  3. Step 3: Cross multiply
    457.98x = 632.01 × 258.83
  4. Step 4: Simplify right side
    457.98x = 163,579.99
  5. Step 5: Solve for x
    x = 163,579.99/457.98
  6. Step 6: Final answer
    x = 357.18

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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.