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Finding the Fourth Proportional to 390.32, 538.04 and 346.64

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Solution

The fourth proportional to 390.32, 538.04 and 346.64 is: 477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.32 : 538.04 = 346.64 : x
  2. Step 2: Convert to fraction form
    390.32/538.04 = 346.64/x
  3. Step 3: Cross multiply
    390.32x = 538.04 × 346.64
  4. Step 4: Simplify right side
    390.32x = 186,506.19
  5. Step 5: Solve for x
    x = 186,506.19/390.32
  6. Step 6: Final answer
    x = 477.83

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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.