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Finding the Fourth Proportional to 384.02, 578.40 and 350.72

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Solution

The fourth proportional to 384.02, 578.40 and 350.72 is: 528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.02 : 578.40 = 350.72 : x
  2. Step 2: Convert to fraction form
    384.02/578.40 = 350.72/x
  3. Step 3: Cross multiply
    384.02x = 578.40 × 350.72
  4. Step 4: Simplify right side
    384.02x = 202,856.45
  5. Step 5: Solve for x
    x = 202,856.45/384.02
  6. Step 6: Final answer
    x = 528.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.