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Finding the Fourth Proportional to 423.10, 583.92 and 390.16

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Solution

The fourth proportional to 423.10, 583.92 and 390.16 is: 538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.10 : 583.92 = 390.16 : x
  2. Step 2: Convert to fraction form
    423.10/583.92 = 390.16/x
  3. Step 3: Cross multiply
    423.10x = 583.92 × 390.16
  4. Step 4: Simplify right side
    423.10x = 227,822.23
  5. Step 5: Solve for x
    x = 227,822.23/423.10
  6. Step 6: Final answer
    x = 538.46

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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.