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Finding the Fourth Proportional to 288.50, 398.45 and 210.16

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Solution

The fourth proportional to 288.50, 398.45 and 210.16 is: 290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.50 : 398.45 = 210.16 : x
  2. Step 2: Convert to fraction form
    288.50/398.45 = 210.16/x
  3. Step 3: Cross multiply
    288.50x = 398.45 × 210.16
  4. Step 4: Simplify right side
    288.50x = 83,739.72
  5. Step 5: Solve for x
    x = 83,739.72/288.50
  6. Step 6: Final answer
    x = 290.26

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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.