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Finding the Fourth Proportional to 210.36, 288.78 and 203.07

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Solution

The fourth proportional to 210.36, 288.78 and 203.07 is: 278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.36 : 288.78 = 203.07 : x
  2. Step 2: Convert to fraction form
    210.36/288.78 = 203.07/x
  3. Step 3: Cross multiply
    210.36x = 288.78 × 203.07
  4. Step 4: Simplify right side
    210.36x = 58,642.55
  5. Step 5: Solve for x
    x = 58,642.55/210.36
  6. Step 6: Final answer
    x = 278.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.