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Finding the Fourth Proportional to 257.02, 384.96 and 128.50

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Solution

The fourth proportional to 257.02, 384.96 and 128.50 is: 192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.02 : 384.96 = 128.50 : x
  2. Step 2: Convert to fraction form
    257.02/384.96 = 128.50/x
  3. Step 3: Cross multiply
    257.02x = 384.96 × 128.50
  4. Step 4: Simplify right side
    257.02x = 49,467.36
  5. Step 5: Solve for x
    x = 49,467.36/257.02
  6. Step 6: Final answer
    x = 192.47

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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.