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Finding the Fourth Proportional to 430.71, 645.58 and 293.42

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Solution

The fourth proportional to 430.71, 645.58 and 293.42 is: 439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.71 : 645.58 = 293.42 : x
  2. Step 2: Convert to fraction form
    430.71/645.58 = 293.42/x
  3. Step 3: Cross multiply
    430.71x = 645.58 × 293.42
  4. Step 4: Simplify right side
    430.71x = 189,426.08
  5. Step 5: Solve for x
    x = 189,426.08/430.71
  6. Step 6: Final answer
    x = 439.80

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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.