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Finding the Fourth Proportional to 369.21, 555.36 and 307.70

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Solution

The fourth proportional to 369.21, 555.36 and 307.70 is: 462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.21 : 555.36 = 307.70 : x
  2. Step 2: Convert to fraction form
    369.21/555.36 = 307.70/x
  3. Step 3: Cross multiply
    369.21x = 555.36 × 307.70
  4. Step 4: Simplify right side
    369.21x = 170,882.42
  5. Step 5: Solve for x
    x = 170,882.42/369.21
  6. Step 6: Final answer
    x = 462.83

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Why These Related Problems?

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