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Finding the Fourth Proportional to 283.02, 390.18 and 184.60

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Solution

The fourth proportional to 283.02, 390.18 and 184.60 is: 254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.02 : 390.18 = 184.60 : x
  2. Step 2: Convert to fraction form
    283.02/390.18 = 184.60/x
  3. Step 3: Cross multiply
    283.02x = 390.18 × 184.60
  4. Step 4: Simplify right side
    283.02x = 72,027.23
  5. Step 5: Solve for x
    x = 72,027.23/283.02
  6. Step 6: Final answer
    x = 254.50

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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.