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Finding the Fourth Proportional to 288.77, 398.54 and 222.45

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Solution

The fourth proportional to 288.77, 398.54 and 222.45 is: 307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.77 : 398.54 = 222.45 : x
  2. Step 2: Convert to fraction form
    288.77/398.54 = 222.45/x
  3. Step 3: Cross multiply
    288.77x = 398.54 × 222.45
  4. Step 4: Simplify right side
    288.77x = 88,654.11
  5. Step 5: Solve for x
    x = 88,654.11/288.77
  6. Step 6: Final answer
    x = 307.01

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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.