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Finding the Fourth Proportional to 384.64, 531.12 and 301.60

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Solution

The fourth proportional to 384.64, 531.12 and 301.60 is: 416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.64 : 531.12 = 301.60 : x
  2. Step 2: Convert to fraction form
    384.64/531.12 = 301.60/x
  3. Step 3: Cross multiply
    384.64x = 531.12 × 301.60
  4. Step 4: Simplify right side
    384.64x = 160,185.79
  5. Step 5: Solve for x
    x = 160,185.79/384.64
  6. Step 6: Final answer
    x = 416.46

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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.