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Finding the Fourth Proportional to 306.16, 458.75 and 260.32

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Solution

The fourth proportional to 306.16, 458.75 and 260.32 is: 390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.16 : 458.75 = 260.32 : x
  2. Step 2: Convert to fraction form
    306.16/458.75 = 260.32/x
  3. Step 3: Cross multiply
    306.16x = 458.75 × 260.32
  4. Step 4: Simplify right side
    306.16x = 119,420.16
  5. Step 5: Solve for x
    x = 119,420.16/306.16
  6. Step 6: Final answer
    x = 390.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.