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Finding the Fourth Proportional to 384.24, 530.16 and 295.80

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Solution

The fourth proportional to 384.24, 530.16 and 295.80 is: 408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.24 : 530.16 = 295.80 : x
  2. Step 2: Convert to fraction form
    384.24/530.16 = 295.80/x
  3. Step 3: Cross multiply
    384.24x = 530.16 × 295.80
  4. Step 4: Simplify right side
    384.24x = 156,821.33
  5. Step 5: Solve for x
    x = 156,821.33/384.24
  6. Step 6: Final answer
    x = 408.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.