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Finding the Fourth Proportional to 384.93, 574.78 and 302.85

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Solution

The fourth proportional to 384.93, 574.78 and 302.85 is: 452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.93 : 574.78 = 302.85 : x
  2. Step 2: Convert to fraction form
    384.93/574.78 = 302.85/x
  3. Step 3: Cross multiply
    384.93x = 574.78 × 302.85
  4. Step 4: Simplify right side
    384.93x = 174,071.37
  5. Step 5: Solve for x
    x = 174,071.37/384.93
  6. Step 6: Final answer
    x = 452.22

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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.