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Finding the Fourth Proportional to 370.19, 510.81 and 220.77

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Solution

The fourth proportional to 370.19, 510.81 and 220.77 is: 304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.19 : 510.81 = 220.77 : x
  2. Step 2: Convert to fraction form
    370.19/510.81 = 220.77/x
  3. Step 3: Cross multiply
    370.19x = 510.81 × 220.77
  4. Step 4: Simplify right side
    370.19x = 112,771.52
  5. Step 5: Solve for x
    x = 112,771.52/370.19
  6. Step 6: Final answer
    x = 304.63

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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.