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Finding the Fourth Proportional to 304.56, 459.18 and 283.68

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Solution

The fourth proportional to 304.56, 459.18 and 283.68 is: 427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.56 : 459.18 = 283.68 : x
  2. Step 2: Convert to fraction form
    304.56/459.18 = 283.68/x
  3. Step 3: Cross multiply
    304.56x = 459.18 × 283.68
  4. Step 4: Simplify right side
    304.56x = 130,260.18
  5. Step 5: Solve for x
    x = 130,260.18/304.56
  6. Step 6: Final answer
    x = 427.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.