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Finding the Fourth Proportional to 390.16, 538.47 and 335.08

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Solution

The fourth proportional to 390.16, 538.47 and 335.08 is: 462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.16 : 538.47 = 335.08 : x
  2. Step 2: Convert to fraction form
    390.16/538.47 = 335.08/x
  3. Step 3: Cross multiply
    390.16x = 538.47 × 335.08
  4. Step 4: Simplify right side
    390.16x = 180,430.53
  5. Step 5: Solve for x
    x = 180,430.53/390.16
  6. Step 6: Final answer
    x = 462.45

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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.