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Finding the Fourth Proportional to 384.41, 574 and 306.50

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Solution

The fourth proportional to 384.41, 574 and 306.50 is: 457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.41 : 574 = 306.50 : x
  2. Step 2: Convert to fraction form
    384.41/574 = 306.50/x
  3. Step 3: Cross multiply
    384.41x = 574 × 306.50
  4. Step 4: Simplify right side
    384.41x = 175,931
  5. Step 5: Solve for x
    x = 175,931/384.41
  6. Step 6: Final answer
    x = 457.66

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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.