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Finding the Fourth Proportional to 370.11, 510.78 and 214.89

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Solution

The fourth proportional to 370.11, 510.78 and 214.89 is: 296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.11 : 510.78 = 214.89 : x
  2. Step 2: Convert to fraction form
    370.11/510.78 = 214.89/x
  3. Step 3: Cross multiply
    370.11x = 510.78 × 214.89
  4. Step 4: Simplify right side
    370.11x = 109,761.51
  5. Step 5: Solve for x
    x = 109,761.51/370.11
  6. Step 6: Final answer
    x = 296.56

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