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Finding the Fourth Proportional to 458.98, 633.36 and 259.83

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Solution

The fourth proportional to 458.98, 633.36 and 259.83 is: 358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.98 : 633.36 = 259.83 : x
  2. Step 2: Convert to fraction form
    458.98/633.36 = 259.83/x
  3. Step 3: Cross multiply
    458.98x = 633.36 × 259.83
  4. Step 4: Simplify right side
    458.98x = 164,567.51
  5. Step 5: Solve for x
    x = 164,567.51/458.98
  6. Step 6: Final answer
    x = 358.55

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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.