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Finding the Fourth Proportional to 468.70, 646.75 and 258.88

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Solution

The fourth proportional to 468.70, 646.75 and 258.88 is: 357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.70 : 646.75 = 258.88 : x
  2. Step 2: Convert to fraction form
    468.70/646.75 = 258.88/x
  3. Step 3: Cross multiply
    468.70x = 646.75 × 258.88
  4. Step 4: Simplify right side
    468.70x = 167,430.64
  5. Step 5: Solve for x
    x = 167,430.64/468.70
  6. Step 6: Final answer
    x = 357.23

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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.