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Finding the Fourth Proportional to 430.94, 646.68 and 238.52

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Solution

The fourth proportional to 430.94, 646.68 and 238.52 is: 357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.94 : 646.68 = 238.52 : x
  2. Step 2: Convert to fraction form
    430.94/646.68 = 238.52/x
  3. Step 3: Cross multiply
    430.94x = 646.68 × 238.52
  4. Step 4: Simplify right side
    430.94x = 154,246.11
  5. Step 5: Solve for x
    x = 154,246.11/430.94
  6. Step 6: Final answer
    x = 357.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.