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Finding the Fourth Proportional to 468.54, 646.59 and 258.75

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Solution

The fourth proportional to 468.54, 646.59 and 258.75 is: 357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.54 : 646.59 = 258.75 : x
  2. Step 2: Convert to fraction form
    468.54/646.59 = 258.75/x
  3. Step 3: Cross multiply
    468.54x = 646.59 × 258.75
  4. Step 4: Simplify right side
    468.54x = 167,305.16
  5. Step 5: Solve for x
    x = 167,305.16/468.54
  6. Step 6: Final answer
    x = 357.08

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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.