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Finding the Fourth Proportional to 390.02, 581.76 and 353.12

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Solution

The fourth proportional to 390.02, 581.76 and 353.12 is: 526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.02 : 581.76 = 353.12 : x
  2. Step 2: Convert to fraction form
    390.02/581.76 = 353.12/x
  3. Step 3: Cross multiply
    390.02x = 581.76 × 353.12
  4. Step 4: Simplify right side
    390.02x = 205,431.09
  5. Step 5: Solve for x
    x = 205,431.09/390.02
  6. Step 6: Final answer
    x = 526.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.