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Finding the Fourth Proportional to 399.70, 598.28 and 214.14

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Solution

The fourth proportional to 399.70, 598.28 and 214.14 is: 320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.70 : 598.28 = 214.14 : x
  2. Step 2: Convert to fraction form
    399.70/598.28 = 214.14/x
  3. Step 3: Cross multiply
    399.70x = 598.28 × 214.14
  4. Step 4: Simplify right side
    399.70x = 128,116.61
  5. Step 5: Solve for x
    x = 128,116.61/399.70
  6. Step 6: Final answer
    x = 320.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.