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Finding the Fourth Proportional to 430.04, 641.94 and 378.14

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Solution

The fourth proportional to 430.04, 641.94 and 378.14 is: 564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.04 : 641.94 = 378.14 : x
  2. Step 2: Convert to fraction form
    430.04/641.94 = 378.14/x
  3. Step 3: Cross multiply
    430.04x = 641.94 × 378.14
  4. Step 4: Simplify right side
    430.04x = 242,743.19
  5. Step 5: Solve for x
    x = 242,743.19/430.04
  6. Step 6: Final answer
    x = 564.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.