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Finding the Fourth Proportional to 215.60, 295.74 and 210.20

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Solution

The fourth proportional to 215.60, 295.74 and 210.20 is: 288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.60 : 295.74 = 210.20 : x
  2. Step 2: Convert to fraction form
    215.60/295.74 = 210.20/x
  3. Step 3: Cross multiply
    215.60x = 295.74 × 210.20
  4. Step 4: Simplify right side
    215.60x = 62,163.07
  5. Step 5: Solve for x
    x = 62,163.07/215.60
  6. Step 6: Final answer
    x = 288.33

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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.