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Finding the Fourth Proportional to 458.80, 633.05 and 290.80

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Solution

The fourth proportional to 458.80, 633.05 and 290.80 is: 401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.80 : 633.05 = 290.80 : x
  2. Step 2: Convert to fraction form
    458.80/633.05 = 290.80/x
  3. Step 3: Cross multiply
    458.80x = 633.05 × 290.80
  4. Step 4: Simplify right side
    458.80x = 184,091.37
  5. Step 5: Solve for x
    x = 184,091.37/458.80
  6. Step 6: Final answer
    x = 401.25

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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.