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Finding the Fourth Proportional to 214.24, 322.60 and 193.60

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Solution

The fourth proportional to 214.24, 322.60 and 193.60 is: 291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.24 : 322.60 = 193.60 : x
  2. Step 2: Convert to fraction form
    214.24/322.60 = 193.60/x
  3. Step 3: Cross multiply
    214.24x = 322.60 × 193.60
  4. Step 4: Simplify right side
    214.24x = 62,455.36
  5. Step 5: Solve for x
    x = 62,455.36/214.24
  6. Step 6: Final answer
    x = 291.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.