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Finding the Fourth Proportional to 470.16, 648.23 and 370.40

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Solution

The fourth proportional to 470.16, 648.23 and 370.40 is: 510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.16 : 648.23 = 370.40 : x
  2. Step 2: Convert to fraction form
    470.16/648.23 = 370.40/x
  3. Step 3: Cross multiply
    470.16x = 648.23 × 370.40
  4. Step 4: Simplify right side
    470.16x = 240,099.30
  5. Step 5: Solve for x
    x = 240,099.30/470.16
  6. Step 6: Final answer
    x = 510.68

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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.