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Finding the Fourth Proportional to 384.12, 529.68 and 296.64

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Solution

The fourth proportional to 384.12, 529.68 and 296.64 is: 409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.12 : 529.68 = 296.64 : x
  2. Step 2: Convert to fraction form
    384.12/529.68 = 296.64/x
  3. Step 3: Cross multiply
    384.12x = 529.68 × 296.64
  4. Step 4: Simplify right side
    384.12x = 157,124.28
  5. Step 5: Solve for x
    x = 157,124.28/384.12
  6. Step 6: Final answer
    x = 409.05

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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.