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Finding the Fourth Proportional to 312.40, 430.68 and 260.02

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Solution

The fourth proportional to 312.40, 430.68 and 260.02 is: 358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.40 : 430.68 = 260.02 : x
  2. Step 2: Convert to fraction form
    312.40/430.68 = 260.02/x
  3. Step 3: Cross multiply
    312.40x = 430.68 × 260.02
  4. Step 4: Simplify right side
    312.40x = 111,985.41
  5. Step 5: Solve for x
    x = 111,985.41/312.40
  6. Step 6: Final answer
    x = 358.47

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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.