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Finding the Fourth Proportional to 470.16, 704.64 and 210

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Solution

The fourth proportional to 470.16, 704.64 and 210 is: 314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.16 : 704.64 = 210 : x
  2. Step 2: Convert to fraction form
    470.16/704.64 = 210/x
  3. Step 3: Cross multiply
    470.16x = 704.64 × 210
  4. Step 4: Simplify right side
    470.16x = 147,974.40
  5. Step 5: Solve for x
    x = 147,974.40/470.16
  6. Step 6: Final answer
    x = 314.73

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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.