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Finding the Fourth Proportional to 220.07, 301.57 and 210.50

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Solution

The fourth proportional to 220.07, 301.57 and 210.50 is: 288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.07 : 301.57 = 210.50 : x
  2. Step 2: Convert to fraction form
    220.07/301.57 = 210.50/x
  3. Step 3: Cross multiply
    220.07x = 301.57 × 210.50
  4. Step 4: Simplify right side
    220.07x = 63,479.43
  5. Step 5: Solve for x
    x = 63,479.43/220.07
  6. Step 6: Final answer
    x = 288.46

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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.