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Finding the Fourth Proportional to 384.37, 577.04 and 248.02

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Solution

The fourth proportional to 384.37, 577.04 and 248.02 is: 372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.37 : 577.04 = 248.02 : x
  2. Step 2: Convert to fraction form
    384.37/577.04 = 248.02/x
  3. Step 3: Cross multiply
    384.37x = 577.04 × 248.02
  4. Step 4: Simplify right side
    384.37x = 143,114.78
  5. Step 5: Solve for x
    x = 143,114.78/384.37
  6. Step 6: Final answer
    x = 372.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.