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Finding the Fourth Proportional to 384.75, 577.40 and 256.77

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Solution

The fourth proportional to 384.75, 577.40 and 256.77 is: 385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 577.40 = 256.77 : x
  2. Step 2: Convert to fraction form
    384.75/577.40 = 256.77/x
  3. Step 3: Cross multiply
    384.75x = 577.40 × 256.77
  4. Step 4: Simplify right side
    384.75x = 148,257.71
  5. Step 5: Solve for x
    x = 148,257.71/384.75
  6. Step 6: Final answer
    x = 385.34

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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.