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Finding the Fourth Proportional to 288.86, 431.26 and 220.01

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Solution

The fourth proportional to 288.86, 431.26 and 220.01 is: 328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.86 : 431.26 = 220.01 : x
  2. Step 2: Convert to fraction form
    288.86/431.26 = 220.01/x
  3. Step 3: Cross multiply
    288.86x = 431.26 × 220.01
  4. Step 4: Simplify right side
    288.86x = 94,881.51
  5. Step 5: Solve for x
    x = 94,881.51/288.86
  6. Step 6: Final answer
    x = 328.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.