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Finding the Fourth Proportional to 384.88, 574.81 and 307.96

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Solution

The fourth proportional to 384.88, 574.81 and 307.96 is: 459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.88 : 574.81 = 307.96 : x
  2. Step 2: Convert to fraction form
    384.88/574.81 = 307.96/x
  3. Step 3: Cross multiply
    384.88x = 574.81 × 307.96
  4. Step 4: Simplify right side
    384.88x = 177,018.49
  5. Step 5: Solve for x
    x = 177,018.49/384.88
  6. Step 6: Final answer
    x = 459.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.