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Finding the Fourth Proportional to 64.76, 89.26 and 45.24

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Solution

The fourth proportional to 64.76, 89.26 and 45.24 is: 62.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.76 : 89.26 = 45.24 : x
  2. Step 2: Convert to fraction form
    64.76/89.26 = 45.24/x
  3. Step 3: Cross multiply
    64.76x = 89.26 × 45.24
  4. Step 4: Simplify right side
    64.76x = 4,038.12
  5. Step 5: Solve for x
    x = 4,038.12/64.76
  6. Step 6: Final answer
    x = 62.36

Related Problems

Find fourth proportional to 32.38, 44.63 and 22.62
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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.