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Finding the Fourth Proportional to 430.28, 592.50 and 364.64

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Solution

The fourth proportional to 430.28, 592.50 and 364.64 is: 502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.28 : 592.50 = 364.64 : x
  2. Step 2: Convert to fraction form
    430.28/592.50 = 364.64/x
  3. Step 3: Cross multiply
    430.28x = 592.50 × 364.64
  4. Step 4: Simplify right side
    430.28x = 216,049.20
  5. Step 5: Solve for x
    x = 216,049.20/430.28
  6. Step 6: Final answer
    x = 502.11

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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.