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Finding the Fourth Proportional to 384.84, 574.05 and 348.36

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Solution

The fourth proportional to 384.84, 574.05 and 348.36 is: 519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.84 : 574.05 = 348.36 : x
  2. Step 2: Convert to fraction form
    384.84/574.05 = 348.36/x
  3. Step 3: Cross multiply
    384.84x = 574.05 × 348.36
  4. Step 4: Simplify right side
    384.84x = 199,976.06
  5. Step 5: Solve for x
    x = 199,976.06/384.84
  6. Step 6: Final answer
    x = 519.63

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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.