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Finding the Fourth Proportional to 342.58, 511.36 and 313.72

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Solution

The fourth proportional to 342.58, 511.36 and 313.72 is: 468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.58 : 511.36 = 313.72 : x
  2. Step 2: Convert to fraction form
    342.58/511.36 = 313.72/x
  3. Step 3: Cross multiply
    342.58x = 511.36 × 313.72
  4. Step 4: Simplify right side
    342.58x = 160,423.86
  5. Step 5: Solve for x
    x = 160,423.86/342.58
  6. Step 6: Final answer
    x = 468.28

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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.