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Finding the Fourth Proportional to 380.49, 524.98 and 214.64

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Solution

The fourth proportional to 380.49, 524.98 and 214.64 is: 296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.49 : 524.98 = 214.64 : x
  2. Step 2: Convert to fraction form
    380.49/524.98 = 214.64/x
  3. Step 3: Cross multiply
    380.49x = 524.98 × 214.64
  4. Step 4: Simplify right side
    380.49x = 112,681.71
  5. Step 5: Solve for x
    x = 112,681.71/380.49
  6. Step 6: Final answer
    x = 296.15

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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.