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Finding the Fourth Proportional to 384.81, 577.08 and 128.25

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Solution

The fourth proportional to 384.81, 577.08 and 128.25 is: 192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.81 : 577.08 = 128.25 : x
  2. Step 2: Convert to fraction form
    384.81/577.08 = 128.25/x
  3. Step 3: Cross multiply
    384.81x = 577.08 × 128.25
  4. Step 4: Simplify right side
    384.81x = 74,010.51
  5. Step 5: Solve for x
    x = 74,010.51/384.81
  6. Step 6: Final answer
    x = 192.33

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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.