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Finding the Fourth Proportional to 470.06, 705.10 and 128.06

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Solution

The fourth proportional to 470.06, 705.10 and 128.06 is: 192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.06 : 705.10 = 128.06 : x
  2. Step 2: Convert to fraction form
    470.06/705.10 = 128.06/x
  3. Step 3: Cross multiply
    470.06x = 705.10 × 128.06
  4. Step 4: Simplify right side
    470.06x = 90,295.11
  5. Step 5: Solve for x
    x = 90,295.11/470.06
  6. Step 6: Final answer
    x = 192.09

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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.