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Finding the Fourth Proportional to 283.51, 390.88 and 183.75

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Solution

The fourth proportional to 283.51, 390.88 and 183.75 is: 253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.51 : 390.88 = 183.75 : x
  2. Step 2: Convert to fraction form
    283.51/390.88 = 183.75/x
  3. Step 3: Cross multiply
    283.51x = 390.88 × 183.75
  4. Step 4: Simplify right side
    283.51x = 71,824.20
  5. Step 5: Solve for x
    x = 71,824.20/283.51
  6. Step 6: Final answer
    x = 253.34

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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.