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Finding the Fourth Proportional to 283.98, 392.05 and 186.01

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Solution

The fourth proportional to 283.98, 392.05 and 186.01 is: 256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.98 : 392.05 = 186.01 : x
  2. Step 2: Convert to fraction form
    283.98/392.05 = 186.01/x
  3. Step 3: Cross multiply
    283.98x = 392.05 × 186.01
  4. Step 4: Simplify right side
    283.98x = 72,924.76
  5. Step 5: Solve for x
    x = 72,924.76/283.98
  6. Step 6: Final answer
    x = 256.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.