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Finding the Fourth Proportional to 364.15, 502.55 and 214.78

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Solution

The fourth proportional to 364.15, 502.55 and 214.78 is: 296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.15 : 502.55 = 214.78 : x
  2. Step 2: Convert to fraction form
    364.15/502.55 = 214.78/x
  3. Step 3: Cross multiply
    364.15x = 502.55 × 214.78
  4. Step 4: Simplify right side
    364.15x = 107,935.36
  5. Step 5: Solve for x
    x = 107,935.36/364.15
  6. Step 6: Final answer
    x = 296.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.