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Finding the Fourth Proportional to 420.16, 579.51 and 272.68

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Solution

The fourth proportional to 420.16, 579.51 and 272.68 is: 376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.16 : 579.51 = 272.68 : x
  2. Step 2: Convert to fraction form
    420.16/579.51 = 272.68/x
  3. Step 3: Cross multiply
    420.16x = 579.51 × 272.68
  4. Step 4: Simplify right side
    420.16x = 158,020.79
  5. Step 5: Solve for x
    x = 158,020.79/420.16
  6. Step 6: Final answer
    x = 376.10

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