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Finding the Fourth Proportional to 214.77, 294.61 and 202.35

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Solution

The fourth proportional to 214.77, 294.61 and 202.35 is: 277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.77 : 294.61 = 202.35 : x
  2. Step 2: Convert to fraction form
    214.77/294.61 = 202.35/x
  3. Step 3: Cross multiply
    214.77x = 294.61 × 202.35
  4. Step 4: Simplify right side
    214.77x = 59,613.83
  5. Step 5: Solve for x
    x = 59,613.83/214.77
  6. Step 6: Final answer
    x = 277.57

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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.