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Finding the Fourth Proportional to 430.39, 594.13 and 283.07

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Solution

The fourth proportional to 430.39, 594.13 and 283.07 is: 390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.39 : 594.13 = 283.07 : x
  2. Step 2: Convert to fraction form
    430.39/594.13 = 283.07/x
  3. Step 3: Cross multiply
    430.39x = 594.13 × 283.07
  4. Step 4: Simplify right side
    430.39x = 168,180.38
  5. Step 5: Solve for x
    x = 168,180.38/430.39
  6. Step 6: Final answer
    x = 390.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.