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Finding the Fourth Proportional to 310.42, 464.55 and 236.98

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Solution

The fourth proportional to 310.42, 464.55 and 236.98 is: 354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.42 : 464.55 = 236.98 : x
  2. Step 2: Convert to fraction form
    310.42/464.55 = 236.98/x
  3. Step 3: Cross multiply
    310.42x = 464.55 × 236.98
  4. Step 4: Simplify right side
    310.42x = 110,089.06
  5. Step 5: Solve for x
    x = 110,089.06/310.42
  6. Step 6: Final answer
    x = 354.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.